Sopronyuk Т. M.
Construction of an Integral Manifold of a Multifrequency Oscillation System with Fixed Times of Pulse Action
Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 641-662
We determine a class of multifrequency resonance systems with pulse action for which an integral manifold exists. We construct a function that determines a discontinuous integral manifold and investigate its properties.
Ukr. Mat. Zh. - 2003. - 55, № 1. - pp. 55-65
We prove new theorems on the justification of the averaging method for multifrequency oscillation systems with pulse influence at fixed times.
Ukr. Mat. Zh. - 2001. - 53, № 8. - pp. 1101-1108
We investigate the properties of oscillating sums and integrals dependent on parameters. These properties are used for the estimation of the normal fundamental matrix of a linear system with rapidly oscillating coefficients and pulse influence at fixed moments of time.